Abstract
In this paper we characterize the exceptional theta lifting fromG 2 toC 3 by means of the existence of the simple pole ats=1 of the spin L-function forGSp 3 and by means of the nonvanishing of certain period onGSp 3. Among other results, we also prove the lifting fromG 2 toC 3 is functorial at local unramified places.
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The second-named author is supported in part by NSF grant DMS-9896257 and by an Alfred P. Sloan Research Fellowship. We would like to thank the referee for helpful comments and remarks.
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Ginzburg, D., Jiang, D. Periods and liftings: FromG 2 toC 3 . Isr. J. Math. 123, 29–59 (2001). https://doi.org/10.1007/BF02784119
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DOI: https://doi.org/10.1007/BF02784119